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Finding the Third Proportional to 284,894 and 614,920

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Solution

The third proportional to 284,894 and 614,920 is: 1,327,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894 : 614,920 = 614,920 : x
  2. Step 2: Convert to fraction form
    284,894/614,920 = 614,920/x
  3. Step 3: Cross multiply
    284,894x = 614,920 × 614,920
  4. Step 4: Simplify right side
    284,894x = 378,126,606,400
  5. Step 5: Solve for x
    x = 378,126,606,400/284,894
  6. Step 6: Final answer
    x = 1,327,253.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.